27756432000 has 1152 divisors, whose sum is σ = 115549761600. Its totient is φ = 6614784000.

The previous prime is 27756431971. The next prime is 27756432013. The reversal of 27756432000 is 23465772.

It is a happy number.

27756432000 is a `hidden beast` number, since 2 + 7 + 7 + 5 + 643 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 470447971 + ... + 470448029.

Almost surely, 2^27756432000 is an apocalyptic number.

27756432000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27756432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57774880800).

27756432000 is an abundant number, since it is smaller than the sum of its proper divisors (87793329600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27756432000 is an equidigital number, since it uses as much as digits as its factorization.

27756432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

Adding to 27756432000 its reverse (23465772), we get a palindrome (27779897772).

The spelling of 27756432000 in words is "twenty-seven billion, seven hundred fifty-six million, four hundred thirty-two thousand".